Covering functionals of cones and double cones

DOI10.1186/s13660-018-1785-9zbMath1498.52008OpenAlexW2883413105WikidataQ91103352 ScholiaQ91103352MaRDI QIDQ824687

N. E. Zubov

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1785-9

zbMATH Keywords

coveringconvex bodyBanach-Mazur distancecompact convex conesHadwiger's covering conjecture

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Convex sets in (3) dimensions (including convex surfaces) (52A15) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (6)

Covering the boundary of a convex body with its smaller homothetic copies ⋮ Covering convex hulls of compact convex sets with smaller homothetic copies ⋮ Estimations of covering functionals of simplices ⋮ A branch-and-bound approach for estimating covering functionals of convex bodies ⋮ Homothetic covering of convex hulls of compact convex sets ⋮ Covering a convex body vs. covering the set of its extreme points

Cites Work

• Functionals on the spaces of convex bodies
• On the covering index of convex bodies
• A quantitative program for Hadwiger's covering conjecture
• Classical topics in discrete geometry
• Combinatorial problems on the illumination of convex bodies
• The geometry of homothetic covering and illumination
• Excursions into combinatorial geometry
• Research Problems in Discrete Geometry
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